.6(9n-6)=4(n+1)

Solution for .6(9n-6)=4(n+1) equation:

Simplifying
0.6(9n + -6) = 4(n + 1)

Reorder the terms:
0.6(-6 + 9n) = 4(n + 1)
(-6 * 0.6 + 9n * 0.6) = 4(n + 1)
(-3.6 + 5.4n) = 4(n + 1)

Reorder the terms:
-3.6 + 5.4n = 4(1 + n)
-3.6 + 5.4n = (1 * 4 + n * 4)
-3.6 + 5.4n = (4 + 4n)

Solving
-3.6 + 5.4n = 4 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.
-3.6 + 5.4n + -4n = 4 + 4n + -4n

Combine like terms: 5.4n + -4n = 1.4n
-3.6 + 1.4n = 4 + 4n + -4n

Combine like terms: 4n + -4n = 0
-3.6 + 1.4n = 4 + 0
-3.6 + 1.4n = 4

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1.4n = 4 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1.4n = 4 + 3.6
1.4n = 4 + 3.6

Combine like terms: 4 + 3.6 = 7.6
1.4n = 7.6

Divide each side by '1.4'.
n = 5.428571429

Simplifying
n = 5.428571429